Recently, using the LHC measurements of the masses of the Higgs boson and Top quark, has been pointed out that the Higgs potential is stable until very high energies [1]}, [2]}, [3]}. The scale \(\Lambda _I\)  at which the quartic coupling \(\lambda \)  of the Higgs potential becomes negative at large field values turns out to be \(\Lambda _I\simeq 10^{10} \div 10^{12}\)  GeV, moreover, being the \(\lambda \)  running extremely slow, this instability develops slowly and it might be possible to extrapolate the SM to even higher energies up to the Plank mass \(M_P=10^{19}\)  GeV, with no need for new physics until ultra high energies [1]}. This fact implies that the mass spectrum of the Dark Sector (DS) is restricted to ultra high energies and SHDM could play a role. In the following we will consider SHDM with masses in the range between \(10^{8}\)  GeV up to the Plank mass.
